Sure, there's a bunch of ways you can do this:

• Run periodic ftp listings to see when new files show up, then ftp it out.
• Use smbclient (comes with most samba implementations) to do much the same
• If your OS supports it, samba mount the shared filesystem and then treat it like a local one

You'll want to think about move vs copy as well, also consider doing filesize comparisons after copying the file to make sure you have it complete before deleting it from the share.